House Price Prediction with Bayesian Model Averaging

Bivariate Analysis

Continuous Variables

Target Correlation Analysis

y x r aR2.x aR2.y best worst bestR2 info
Neighborhood MS.Zoning 0.8157 0.1092 0.5821 Neighborhood MS.Zoning 0.5821 -0.2337
TotRms.AbvGrd.log area.log 0.7932 0.5569 0.2988 area.log TotRms.AbvGrd.log 0.5569 -0.2363
Exter.Qual Overall.Qual 0.7048 0.6730 0.4410 Overall.Qual Exter.Qual 0.6730 -0.0318
area.log Full.Bath 0.6653 0.3479 0.5569 area.log Full.Bath 0.5569 -0.1084
age.log Overall.Qual -0.6546 0.6730 0.4233 Overall.Qual age.log 0.6730 0.0184
Foundation Neighborhood 0.6502 0.5821 0.3063 Neighborhood Foundation 0.5821 -0.0681
Kitchen.Qual Overall.Qual 0.6433 0.6730 0.4439 Overall.Qual Kitchen.Qual 0.6730 0.0297
age.garage.log Overall.Qual -0.6222 0.6730 0.3903 Overall.Qual age.garage.log 0.6730 0.0509
Bldg.Type Neighborhood 0.6201 0.5821 0.0072 Neighborhood Bldg.Type 0.5821 -0.0380
Bsmt.Qual Overall.Qual 0.6067 0.6730 0.3852 Overall.Qual Bsmt.Qual 0.6730 0.0663
area.log Overall.Qual 0.5931 0.6730 0.5569 Overall.Qual area.log 0.6730 0.0799
area.log Bedroom.AbvGr 0.5838 0.0729 0.5569 area.log Bedroom.AbvGr 0.5569 -0.0269
Garage.Cars Overall.Qual 0.5790 0.6730 0.4653 Overall.Qual Garage.Cars 0.6730 0.0940
X2nd.Flr.SF.log area.log 0.5547 0.5569 0.0301 area.log X2nd.Flr.SF.log 0.5569 0.0022
age.remod.log Overall.Qual -0.5394 0.6730 0.3379 Overall.Qual age.remod.log 0.6730 0.1336
Full.Bath Overall.Qual 0.5348 0.6730 0.3479 Overall.Qual Full.Bath 0.6730 0.1382
X1st.Flr.SF.log area.log 0.5288 0.5569 0.4203 area.log X1st.Flr.SF.log 0.5569 0.0281
area.log Fireplace.Qu 0.5285 0.3228 0.5569 area.log Fireplace.Qu 0.5569 0.0284
area.log Garage.Cars 0.5190 0.4653 0.5569 area.log Garage.Cars 0.5569 0.0379
area.log Fireplaces 0.5024 0.2820 0.5569 area.log Fireplaces 0.5569 0.0545

Predictor Regression Summary

term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
Overall.Qual 0.673 0.673 0.218 1715.562 0.000 2 86.578 -167.155 -152.977 39.676 832
area.log 0.557 0.557 0.254 1047.935 0.000 2 -40.148 86.297 100.476 53.766 832
Garage.Cars 0.466 0.465 0.279 725.801 0.000 2 -118.529 243.057 257.236 64.884 832
Kitchen.Qual 0.445 0.444 0.285 665.940 0.000 2 -134.869 275.737 289.916 67.477 832
Exter.Qual 0.442 0.441 0.286 658.145 0.000 2 -137.044 280.088 294.267 67.830 832
age.log 0.424 0.423 0.290 612.343 0.000 2 -150.063 306.125 320.304 69.981 832
X1st.Flr.SF.log 0.421 0.420 0.291 605.003 0.000 2 -152.187 310.374 324.552 70.338 832
age.garage.log 0.391 0.390 0.298 534.305 0.000 2 -173.225 352.449 366.628 73.978 832
Bsmt.Qual 0.386 0.385 0.299 523.005 0.000 2 -176.688 359.375 373.554 74.595 832
Full.Bath 0.349 0.348 0.308 445.377 0.000 2 -201.289 408.578 422.757 79.128 832
age.remod.log 0.339 0.338 0.311 426.025 0.000 2 -207.655 421.310 435.489 80.345 832
Fireplace.Qu 0.324 0.323 0.314 397.989 0.000 2 -217.053 440.106 454.285 82.176 832
TotRms.AbvGrd.log 0.300 0.299 0.320 356.030 0.000 2 -231.527 469.054 483.232 85.079 832
Fireplaces 0.283 0.282 0.324 328.169 0.000 2 -241.422 488.845 503.023 87.122 832
Heating.QC 0.242 0.241 0.333 265.946 0.000 2 -264.409 534.819 548.997 92.059 832
Open.Porch.SF.log 0.221 0.221 0.337 236.700 0.000 2 -275.668 557.335 571.514 94.578 832
Garage.Area.log 0.205 0.204 0.341 213.916 0.000 2 -284.654 575.308 589.487 96.639 832
Mas.Vnr.Area.log 0.178 0.177 0.346 180.681 0.000 2 -298.120 602.239 616.418 99.810 832
Wood.Deck.SF.log 0.175 0.174 0.347 176.059 0.000 2 -300.027 606.055 620.233 100.268 832
BsmtFin.Type.1 0.174 0.173 0.347 175.840 0.000 2 -300.118 606.235 620.414 100.290 832
Lot.Area.log 0.157 0.156 0.351 154.390 0.000 2 -309.089 624.178 638.356 102.471 832
Total.Bsmt.SF.log 0.156 0.155 0.351 154.036 0.000 2 -309.238 624.476 638.655 102.507 832
Lot.Frontage 0.150 0.149 0.363 119.383 0.000 2 -273.185 552.369 565.927 88.866 676
Bsmt.Exposure 0.142 0.141 0.354 137.608 0.000 2 -316.244 638.488 652.667 104.244 832
Paved.Drive 0.141 0.140 0.354 136.443 0.000 2 -316.746 639.491 653.670 104.370 832
Garage.Cond 0.125 0.123 0.358 118.336 0.000 2 -324.616 655.233 669.411 106.358 832
Garage.Qual 0.119 0.118 0.359 112.394 0.000 2 -327.232 660.464 674.643 107.027 832
Bsmt.Full.Bath 0.106 0.105 0.361 99.048 0.000 2 -333.167 672.333 686.512 108.562 832
Half.Bath 0.104 0.103 0.362 96.471 0.000 2 -334.323 674.645 688.824 108.863 832
Lot.Shape 0.089 0.088 0.365 81.355 0.000 2 -341.167 688.334 702.513 110.664 832
Garage.Finish 0.082 0.081 0.366 74.016 0.000 2 -344.531 695.063 709.241 111.561 832
Electrical 0.075 0.074 0.367 67.648 0.000 2 -347.473 700.945 715.124 112.351 832
Bedroom.AbvGr 0.074 0.073 0.368 66.509 0.000 2 -348.001 702.002 716.180 112.493 832
Lot.Area 0.064 0.063 0.370 56.772 0.000 2 -352.545 711.089 725.268 113.725 832
Enclosed.Porch.log 0.058 0.057 0.371 51.191 0.000 2 -355.172 716.344 730.522 114.444 832
Bsmt.Cond 0.055 0.054 0.371 48.784 0.000 2 -356.310 718.619 732.798 114.757 832
Bsmt.Unf.SF.sqrt 0.038 0.037 0.375 33.255 0.000 2 -363.727 733.455 747.633 116.816 832
X2nd.Flr.SF.log 0.031 0.030 0.376 26.838 0.000 2 -366.831 739.662 753.841 117.689 832
Fence 0.014 0.013 0.379 11.969 0.001 2 -374.114 754.228 768.406 119.763 832
Land.Slope 0.013 0.012 0.380 11.310 0.001 2 -374.440 754.880 769.058 119.856 832
Functional 0.012 0.011 0.380 9.928 0.002 2 -375.124 756.247 770.426 120.053 832
Screen.Porch.log 0.009 0.008 0.380 7.672 0.006 2 -376.243 758.485 772.664 120.376 832
Kitchen.AbvGr 0.008 0.007 0.381 6.933 0.009 2 -376.610 759.220 773.398 120.482 832
Low.Qual.Fin.SF.log 0.008 0.007 0.381 6.813 0.009 2 -376.669 759.339 773.517 120.499 832
Overall.Cond 0.006 0.005 0.381 4.801 0.029 2 -377.671 761.342 775.520 120.789 832
Mo.Sold 0.004 0.002 0.381 2.933 0.087 2 -378.603 763.206 777.384 121.059 832
Bsmt.Half.Bath 0.002 0.000 0.382 1.312 0.252 2 -379.413 764.826 779.005 121.294 832
Exter.Cond 0.001 -0.001 0.382 0.493 0.483 2 -379.823 765.646 779.825 121.414 832
Misc.Val 0.000 -0.001 0.382 0.249 0.618 2 -379.945 765.891 780.069 121.449 832
BsmtFin.Type.2 0.000 -0.001 0.382 0.229 0.632 2 -379.955 765.911 780.089 121.452 832
BsmtFin.SF.2.log 0.000 -0.001 0.382 0.167 0.683 2 -379.986 765.973 780.151 121.461 832
X3Ssn.Porch.log 0.000 -0.001 0.382 0.000 0.996 2 -380.070 766.140 780.319 121.486 832
Utilities 0.000 0.000 0.382 NA NA 1 -380.070 764.140 773.593 121.486 833

Predictor Regression Analysis

term estimate std.error statistic p.value
(Intercept) 11.546 0.042 275.528 0
Lot.Frontage 0.006 0.001 10.926 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Lot.Frontage 0.15 0.149 0.363 119.383 0 2 -273.185 552.369 565.927 88.866 676
term estimate std.error statistic p.value
(Intercept) 11.901 0.018 661.112 0
Lot.Area 0.000 0.000 7.535 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Lot.Area 0.064 0.063 0.37 56.772 0 2 -352.545 711.089 725.268 113.725 832
term estimate std.error statistic p.value
(Intercept) 12.727 0.082 155.179 0
Lot.Shape -0.203 0.023 -9.020 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Lot.Shape 0.089 0.088 0.365 81.355 0 2 -341.167 688.334 702.513 110.664 832
term estimate std.error statistic p.value
(Intercept) 11.996 0.013 907.139 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
Utilities 0 0 0.382 NA NA 1 -380.07 764.14 773.593 121.486 833
term estimate std.error statistic p.value
(Intercept) 12.582 0.175 71.928 0.000
Land.Slope -0.198 0.059 -3.363 0.001
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Land.Slope 0.013 0.012 0.38 11.31 0.001 2 -374.44 754.88 769.058 119.856 832
term estimate std.error statistic p.value
(Intercept) 10.589 0.035 304.339 0
Overall.Qual 0.235 0.006 41.419 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Overall.Qual 0.673 0.673 0.218 1715.562 0 2 86.578 -167.155 -152.977 39.676 832
term estimate std.error statistic p.value
(Intercept) 12.144 0.069 176.611 0.000
Overall.Cond -0.026 0.012 -2.191 0.029
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Overall.Cond 0.006 0.005 0.381 4.801 0.029 2 -377.671 761.342 775.52 120.789 832
term estimate std.error statistic p.value
(Intercept) 10.433 0.062 169.013 0
Exter.Qual 0.466 0.018 25.654 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Exter.Qual 0.442 0.441 0.286 658.145 0 2 -137.044 280.088 294.267 67.83 832
term estimate std.error statistic p.value
(Intercept) 12.071 0.108 112.221 0.000
Exter.Cond -0.024 0.034 -0.702 0.483
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Exter.Cond 0.001 -0.001 0.382 0.493 0.483 2 -379.823 765.646 779.825 121.414 832
term estimate std.error statistic p.value
(Intercept) 11.033 0.043 254.460 0
Bsmt.Qual 0.280 0.012 22.869 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bsmt.Qual 0.386 0.385 0.299 523.005 0 2 -176.688 359.375 373.554 74.595 832
term estimate std.error statistic p.value
(Intercept) 11.500 0.072 159.494 0
Bsmt.Cond 0.168 0.024 6.985 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bsmt.Cond 0.055 0.054 0.371 48.784 0 2 -356.31 718.619 732.798 114.757 832
term estimate std.error statistic p.value
(Intercept) 11.774 0.023 522.615 0
Bsmt.Exposure 0.135 0.012 11.731 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bsmt.Exposure 0.142 0.141 0.354 137.608 0 2 -316.244 638.488 652.667 104.244 832
term estimate std.error statistic p.value
(Intercept) 11.713 0.024 478.878 0
BsmtFin.Type.1 0.078 0.006 13.260 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value BsmtFin.Type.1 0.174 0.173 0.347 175.84 0 2 -300.118 606.235 620.414 100.29 832
term estimate std.error statistic p.value
(Intercept) 11.988 0.022 550.039 0.000
BsmtFin.Type.2 0.006 0.013 0.479 0.632
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value BsmtFin.Type.2 0 -0.001 0.382 0.229 0.632 2 -379.955 765.911 780.089 121.452 832
term estimate std.error statistic p.value
(Intercept) 11.172 0.052 215.575 0
Heating.QC 0.200 0.012 16.308 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Heating.QC 0.242 0.241 0.333 265.946 0 2 -264.409 534.819 548.997 92.059 832
term estimate std.error statistic p.value
(Intercept) 10.536 0.178 59.222 0
Electrical 0.297 0.036 8.225 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Electrical 0.075 0.074 0.367 67.648 0 2 -347.473 700.945 715.124 112.351 832
term estimate std.error statistic p.value
(Intercept) 11.891 0.016 727.927 0
Bsmt.Full.Bath 0.240 0.024 9.952 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bsmt.Full.Bath 0.106 0.105 0.361 99.048 0 2 -333.167 672.333 686.512 108.562 832
term estimate std.error statistic p.value
(Intercept) 12.000 0.014 880.488 0.000
Bsmt.Half.Bath -0.062 0.054 -1.145 0.252
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bsmt.Half.Bath 0.002 0 0.382 1.312 0.252 2 -379.413 764.826 779.005 121.294 832
term estimate std.error statistic p.value
(Intercept) 11.367 0.032 359.062 0
Full.Bath 0.418 0.020 21.104 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Full.Bath 0.349 0.348 0.308 445.377 0 2 -201.289 408.578 422.757 79.128 832
term estimate std.error statistic p.value
(Intercept) 11.902 0.016 756.582 0
Half.Bath 0.248 0.025 9.822 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Half.Bath 0.104 0.103 0.362 96.471 0 2 -334.323 674.645 688.824 108.863 832
term estimate std.error statistic p.value
(Intercept) 11.635 0.046 252.857 0
Bedroom.AbvGr 0.128 0.016 8.155 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bedroom.AbvGr 0.074 0.073 0.368 66.509 0 2 -348.001 702.002 716.18 112.493 832
term estimate std.error statistic p.value
(Intercept) 12.183 0.072 168.186 0.000
Kitchen.AbvGr -0.181 0.069 -2.633 0.009
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Kitchen.AbvGr 0.008 0.007 0.381 6.933 0.009 2 -376.61 759.22 773.398 120.482 832
term estimate std.error statistic p.value
(Intercept) 10.601 0.055 192.993 0
Kitchen.Qual 0.402 0.016 25.806 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Kitchen.Qual 0.445 0.444 0.285 665.94 0 2 -134.869 275.737 289.916 67.477 832
term estimate std.error statistic p.value
(Intercept) 11.471 0.167 68.716 0.000
Functional 0.067 0.021 3.151 0.002
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Functional 0.012 0.011 0.38 9.928 0.002 2 -375.124 756.247 770.426 120.053 832
term estimate std.error statistic p.value
(Intercept) 11.813 0.015 782.690 0
Fireplaces 0.309 0.017 18.115 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Fireplaces 0.283 0.282 0.324 328.169 0 2 -241.422 488.845 503.023 87.122 832
term estimate std.error statistic p.value
(Intercept) 11.789 0.015 783.796 0
Fireplace.Qu 0.124 0.006 19.950 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Fireplace.Qu 0.324 0.323 0.314 397.989 0 2 -217.053 440.106 454.285 82.176 832
term estimate std.error statistic p.value
(Intercept) 11.884 0.018 653.179 0
Garage.Finish 0.100 0.012 8.603 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Garage.Finish 0.082 0.081 0.366 74.016 0 2 -344.531 695.063 709.241 111.561 832
term estimate std.error statistic p.value
(Intercept) 11.389 0.025 464.439 0
Garage.Cars 0.352 0.013 26.941 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Garage.Cars 0.466 0.465 0.279 725.801 0 2 -118.529 243.057 257.236 64.884 832
term estimate std.error statistic p.value
(Intercept) 11.423 0.055 206.071 0
Garage.Qual 0.202 0.019 10.602 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Garage.Qual 0.119 0.118 0.359 112.394 0 2 -327.232 660.464 674.643 107.027 832
term estimate std.error statistic p.value
(Intercept) 11.406 0.056 205.085 0
Garage.Cond 0.207 0.019 10.878 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Garage.Cond 0.125 0.123 0.358 118.336 0 2 -324.616 655.233 669.411 106.358 832
term estimate std.error statistic p.value
(Intercept) 11.250 0.065 173.141 0
Paved.Drive 0.264 0.023 11.681 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Paved.Drive 0.141 0.14 0.354 136.443 0 2 -316.746 639.491 653.67 104.37 832
term estimate std.error statistic p.value
(Intercept) 12.019 0.015 815.935 0.000
Fence -0.036 0.010 -3.460 0.001
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Fence 0.014 0.013 0.379 11.969 0.001 2 -374.114 754.228 768.406 119.763 832
term estimate std.error statistic p.value
(Intercept) 11.996 0.013 903.364 0.000
Misc.Val 0.000 0.000 -0.499 0.618
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Misc.Val 0 -0.001 0.382 0.249 0.618 2 -379.945 765.891 780.069 121.449 832
term estimate std.error statistic p.value
(Intercept) 11.943 0.033 357.842 0.000
Mo.Sold 0.009 0.005 1.713 0.087
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Mo.Sold 0.004 0.002 0.381 2.933 0.087 2 -378.603 763.206 777.384 121.059 832
term estimate std.error statistic p.value
(Intercept) 13.366 0.056 237.476 0
age.log -0.371 0.015 -24.746 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value age.log 0.424 0.423 0.29 612.343 0 2 -150.063 306.125 320.304 69.981 832
term estimate std.error statistic p.value
(Intercept) 13.356 0.060 223.552 0
age.garage.log -0.377 0.016 -23.115 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value age.garage.log 0.391 0.39 0.298 534.305 0 2 -173.225 352.449 366.628 73.978 832
term estimate std.error statistic p.value
(Intercept) 12.382 0.022 574.154 0
age.remod.log -0.011 0.001 -20.640 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value age.remod.log 0.339 0.338 0.311 426.025 0 2 -207.655 421.31 435.489 80.345 832
term estimate std.error statistic p.value
(Intercept) 11.155 0.027 406.557 0
area.log 0.001 0.000 32.372 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value area.log 0.557 0.557 0.254 1047.935 0 2 -40.148 86.297 100.476 53.766 832
term estimate std.error statistic p.value
(Intercept) 11.998 0.014 850.231 0.000
BsmtFin.SF.2.log -0.003 0.007 -0.409 0.683
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value BsmtFin.SF.2.log 0 -0.001 0.382 0.167 0.683 2 -379.986 765.973 780.151 121.461 832
term estimate std.error statistic p.value
(Intercept) 12.037 0.014 854.522 0
Enclosed.Porch.log -0.050 0.007 -7.155 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Enclosed.Porch.log 0.058 0.057 0.371 51.191 0 2 -355.172 716.344 730.522 114.444 832
term estimate std.error statistic p.value
(Intercept) 11.209 0.055 203.433 0
Garage.Area.log 0.135 0.009 14.626 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Garage.Area.log 0.205 0.204 0.341 213.916 0 2 -284.654 575.308 589.487 96.639 832
term estimate std.error statistic p.value
(Intercept) 9.413 0.208 45.208 0
Lot.Area.log 0.285 0.023 12.425 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Lot.Area.log 0.157 0.156 0.351 154.39 0 2 -309.089 624.178 638.356 102.471 832
term estimate std.error statistic p.value
(Intercept) 12.000 0.013 905.201 0.000
Low.Qual.Fin.SF.log -0.055 0.021 -2.610 0.009
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Low.Qual.Fin.SF.log 0.008 0.007 0.381 6.813 0.009 2 -376.669 759.339 773.517 120.499 832
term estimate std.error statistic p.value
(Intercept) 11.873 0.015 786.366 0
Mas.Vnr.Area.log 0.062 0.005 13.442 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Mas.Vnr.Area.log 0.178 0.177 0.346 180.681 0 2 -298.12 602.239 616.418 99.81 832
term estimate std.error statistic p.value
(Intercept) 11.803 0.017 688.503 0
Open.Porch.SF.log 0.084 0.005 15.385 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Open.Porch.SF.log 0.221 0.221 0.337 236.7 0 2 -275.668 557.335 571.514 94.578 832
term estimate std.error statistic p.value
(Intercept) 11.985 0.014 873.372 0.000
Screen.Porch.log 0.026 0.009 2.770 0.006
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Screen.Porch.log 0.009 0.008 0.38 7.672 0.006 2 -376.243 758.485 772.664 120.376 832
term estimate std.error statistic p.value
(Intercept) 11.086 0.074 149.224 0
Total.Bsmt.SF.log 0.135 0.011 12.411 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Total.Bsmt.SF.log 0.156 0.155 0.351 154.036 0 2 -309.238 624.476 638.655 102.507 832
term estimate std.error statistic p.value
(Intercept) 10.028 0.105 95.588 0
TotRms.AbvGrd.log 1.003 0.053 18.869 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value TotRms.AbvGrd.log 0.3 0.299 0.32 356.03 0 2 -231.527 469.054 483.232 85.079 832
term estimate std.error statistic p.value
(Intercept) 11.847 0.016 719.490 0
Wood.Deck.SF.log 0.062 0.005 13.269 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Wood.Deck.SF.log 0.175 0.174 0.347 176.059 0 2 -300.027 606.055 620.233 100.268 832
term estimate std.error statistic p.value
(Intercept) 6.492 0.224 28.987 0
X1st.Flr.SF.log 0.789 0.032 24.597 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value X1st.Flr.SF.log 0.421 0.42 0.291 605.003 0 2 -152.187 310.374 324.552 70.338 832
term estimate std.error statistic p.value
(Intercept) 11.940 0.017 707.726 0
X2nd.Flr.SF.log 0.021 0.004 5.181 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value X2nd.Flr.SF.log 0.031 0.03 0.376 26.838 0 2 -366.831 739.662 753.841 117.689 832
term estimate std.error statistic p.value
(Intercept) 11.996 0.013 900.100 0.000
X3Ssn.Porch.log 0.000 0.021 -0.006 0.996
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value X3Ssn.Porch.log 0 -0.001 0.382 0 0.996 2 -380.07 766.14 780.319 121.486 832
term estimate std.error statistic p.value
(Intercept) 11.839 0.030 392.449 0
Bsmt.Unf.SF.sqrt 0.008 0.001 5.767 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bsmt.Unf.SF.sqrt 0.038 0.037 0.375 33.255 0 2 -363.727 733.455 747.633 116.816 832

Predictor Correlation Analysis

Label.1 Variable.1 Label.2 Variable.2 r
f29 Garage.Qual f30 Garage.Cond 0.9420
f35 age.log f36 age.garage.log 0.9245
f29 Garage.Qual f41 Garage.Area.log 0.9051
f30 Garage.Cond f41 Garage.Area.log 0.9034
f14 BsmtFin.Type.2 f39 BsmtFin.SF.2.log 0.8884
f25 Fireplaces f26 Fireplace.Qu 0.8558
f11 Bsmt.Cond f47 Total.Bsmt.SF.log 0.8257
f38 area.log f48 TotRms.AbvGrd.log 0.7932
f6 Overall.Qual f8 Exter.Qual 0.7048
f10 Bsmt.Qual f47 Total.Bsmt.SF.log 0.7017
f8 Exter.Qual f23 Kitchen.Qual 0.7009
f21 Bedroom.AbvGr f48 TotRms.AbvGrd.log 0.7008
f28 Garage.Cars f41 Garage.Area.log 0.6891
f2 Lot.Area f42 Lot.Area.log 0.6674
f19 Full.Bath f38 area.log 0.6653
f35 age.log f37 age.remod.log 0.6622
f36 age.garage.log f37 age.remod.log 0.6435
f6 Overall.Qual f23 Kitchen.Qual 0.6433
f6 Overall.Qual f10 Bsmt.Qual 0.6067
f6 Overall.Qual f38 area.log 0.5931
f10 Bsmt.Qual f11 Bsmt.Cond 0.5866
f20 Half.Bath f51 X2nd.Flr.SF.log 0.5839
f21 Bedroom.AbvGr f38 area.log 0.5838
f6 Overall.Qual f28 Garage.Cars 0.5790
f13 BsmtFin.Type.1 f17 Bsmt.Full.Bath 0.5584
f38 area.log f51 X2nd.Flr.SF.log 0.5547
f19 Full.Bath f48 TotRms.AbvGrd.log 0.5412
f6 Overall.Qual f19 Full.Bath 0.5348
f38 area.log f50 X1st.Flr.SF.log 0.5288
f26 Fireplace.Qu f38 area.log 0.5285
f28 Garage.Cars f38 area.log 0.5190
f8 Exter.Qual f10 Bsmt.Qual 0.5133
f25 Fireplaces f38 area.log 0.5024

Categorical Variables

Predictor Regression Summary

term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
Neighborhood 0.594 0.582 0.247 51.442 0.000 24 -4.582 59.164 177.320 49.370 810
MS.SubClass 0.321 0.313 0.316 43.233 0.000 10 -218.792 459.584 511.573 82.520 824
Garage.Type 0.315 0.312 0.317 95.391 0.000 5 -222.185 456.369 484.727 83.194 829
Foundation 0.308 0.306 0.318 184.911 0.000 3 -226.559 461.118 480.023 84.071 831
Exterior.1st 0.152 0.144 0.353 21.091 0.000 8 -311.496 640.992 683.528 103.064 826
Mas.Vnr.Type 0.149 0.147 0.353 72.615 0.000 3 -312.904 633.809 652.714 103.413 831
Exterior.2nd 0.147 0.141 0.354 23.757 0.000 7 -313.758 643.516 681.326 103.624 827
Central.Air 0.128 0.127 0.357 122.413 0.000 2 -322.831 651.662 665.841 105.904 832
MS.Zoning 0.110 0.109 0.360 103.111 0.000 2 -331.351 668.701 682.880 108.090 832
House.Style 0.079 0.074 0.368 14.236 0.000 6 -345.681 705.363 738.446 111.869 828
Roof.Style 0.031 0.030 0.376 26.720 0.000 2 -366.889 739.777 753.956 117.705 832
Lot.Config 0.018 0.015 0.379 5.106 0.002 4 -372.445 754.890 778.521 119.284 830
Condition.1 0.016 0.015 0.379 13.737 0.000 2 -373.241 752.483 766.662 119.512 832
Bldg.Type 0.008 0.007 0.381 7.063 0.008 2 -376.545 759.091 773.269 120.463 832
Land.Contour 0.007 0.006 0.381 5.664 0.018 2 -377.241 760.482 774.661 120.664 832
Heating 0.006 0.001 0.382 1.234 0.295 5 -377.595 767.189 795.546 120.766 829

Predictor Regression Analysis

term estimate std.error statistic p.value
(Intercept) 12.022 0.018 664.562 0.000
MS.SubClass30 -0.580 0.052 -11.245 0.000
MS.SubClassOther -0.210 0.046 -4.560 0.000
MS.SubClass50 -0.220 0.039 -5.600 0.000
MS.SubClass60 0.288 0.031 9.286 0.000
MS.SubClass70 -0.141 0.061 -2.334 0.020
MS.SubClass80 -0.034 0.056 -0.602 0.547
MS.SubClass90 -0.178 0.065 -2.757 0.006
MS.SubClass120 0.149 0.046 3.219 0.001
MS.SubClass160 -0.262 0.052 -5.028 0.000
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value MS.SubClass 0.321 0.313 0.316 43.233 0 10 -218.792 459.584 511.573 82.52 824
term estimate std.error statistic p.value
(Intercept) 11.753 0.027 435.022 0
MS.ZoningRL 0.309 0.030 10.154 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value MS.Zoning 0.11 0.109 0.36 103.111 0 2 -331.351 668.701 682.88 108.09 832
term estimate std.error statistic p.value
(Intercept) 12.094 0.043 278.674 0.000
Land.ContourLvl -0.108 0.046 -2.380 0.018
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Land.Contour 0.007 0.006 0.381 5.664 0.018 2 -377.241 760.482 774.661 120.664 832
term estimate std.error statistic p.value
(Intercept) 11.953 0.031 379.669 0.000
Lot.ConfigCulDSac 0.216 0.057 3.783 0.000
Lot.ConfigFR 0.045 0.071 0.634 0.526
Lot.ConfigInside 0.035 0.035 0.992 0.321
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Lot.Config 0.018 0.015 0.379 5.106 0.002 4 -372.445 754.89 778.521 119.284 830
term estimate std.error statistic p.value
(Intercept) 12.195 0.093 130.685 0.000
NeighborhoodOther -0.164 0.116 -1.417 0.157
NeighborhoodBrDale -0.684 0.132 -5.181 0.000
NeighborhoodBrkSide -0.522 0.102 -5.114 0.000
NeighborhoodClearCr -0.029 0.119 -0.240 0.810
NeighborhoodCollgCr -0.056 0.098 -0.572 0.567
NeighborhoodCrawfor -0.052 0.106 -0.491 0.623
NeighborhoodEdwards -0.470 0.100 -4.718 0.000
NeighborhoodGilbert -0.044 0.102 -0.430 0.667
NeighborhoodIDOTRR -0.686 0.105 -6.549 0.000
NeighborhoodMeadowV -0.773 0.112 -6.906 0.000
NeighborhoodMitchel -0.185 0.101 -1.833 0.067
NeighborhoodNAmes -0.340 0.096 -3.557 0.000
NeighborhoodNoRidge 0.396 0.104 3.798 0.000
NeighborhoodNridgHt 0.409 0.102 4.008 0.000
NeighborhoodNWAmes 0.004 0.102 0.043 0.966
NeighborhoodOldTown -0.519 0.098 -5.273 0.000
NeighborhoodSawyer -0.367 0.099 -3.707 0.000
NeighborhoodSawyerW -0.125 0.101 -1.238 0.216
NeighborhoodSomerst 0.100 0.100 1.000 0.318
NeighborhoodStoneBr 0.283 0.117 2.409 0.016
NeighborhoodSWISU -0.476 0.122 -3.909 0.000
NeighborhoodTimber 0.247 0.111 2.229 0.026
NeighborhoodVeenker 0.173 0.124 1.390 0.165
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Neighborhood 0.594 0.582 0.247 51.442 0 24 -4.582 59.164 177.32 49.37 810
term estimate std.error statistic p.value
(Intercept) 11.866 0.038 316.186 0
Condition.1Norm 0.148 0.040 3.706 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Condition.1 0.016 0.015 0.379 13.737 0 2 -373.241 752.483 766.662 119.512 832
term estimate std.error statistic p.value
(Intercept) 12.012 0.015 827.428 0.000
Bldg.TypeOther -0.092 0.035 -2.658 0.008
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Bldg.Type 0.008 0.007 0.381 7.063 0.008 2 -376.545 759.091 773.269 120.463 832
term estimate std.error statistic p.value
(Intercept) 11.806 0.040 296.124 0.000
House.StyleOther 0.064 0.095 0.669 0.504
House.Style1Story 0.163 0.044 3.736 0.000
House.Style2Story 0.337 0.046 7.259 0.000
House.StyleSFoyer 0.033 0.076 0.431 0.667
House.StyleSLvl 0.175 0.072 2.446 0.015
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value House.Style 0.079 0.074 0.368 14.236 0 6 -345.681 705.363 738.446 111.869 828
term estimate std.error statistic p.value
(Intercept) 12.124 0.028 432.466 0
Roof.StyleGable -0.164 0.032 -5.169 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Roof.Style 0.031 0.03 0.376 26.72 0 2 -366.889 739.777 753.956 117.705 832
term estimate std.error statistic p.value
(Intercept) 11.825 0.053 222.051 0.000
Exterior.1stBrkFace 0.209 0.082 2.551 0.011
Exterior.1stCemntBd 0.066 0.084 0.784 0.434
Exterior.1stHdBoard 0.119 0.061 1.964 0.050
Exterior.1stMetalSd 0.018 0.062 0.298 0.766
Exterior.1stPlywood 0.164 0.069 2.386 0.017
Exterior.1stVinylSd 0.377 0.058 6.552 0.000
Exterior.1stWd Sdng 0.038 0.062 0.614 0.539
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Exterior.1st 0.152 0.144 0.353 21.091 0 8 -311.496 640.992 683.528 103.064 826
term estimate std.error statistic p.value
(Intercept) 11.864 0.038 309.005 0.000
Exterior.2ndBrkFace 0.167 0.088 1.894 0.059
Exterior.2ndHdBoard 0.082 0.049 1.674 0.094
Exterior.2ndMetalSd -0.017 0.049 -0.353 0.724
Exterior.2ndPlywood 0.094 0.054 1.730 0.084
Exterior.2ndVinylSd 0.341 0.044 7.700 0.000
Exterior.2ndWd Sdng 0.013 0.050 0.266 0.790
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Exterior.2nd 0.147 0.141 0.354 23.757 0 7 -313.758 643.516 681.326 103.624 827
term estimate std.error statistic p.value
(Intercept) 12.210 0.048 256.693 0.000
Mas.Vnr.TypeBrkFace -0.033 0.052 -0.623 0.533
Mas.Vnr.TypeNone -0.330 0.050 -6.588 0.000
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Mas.Vnr.Type 0.149 0.147 0.353 72.615 0 3 -312.904 633.809 652.714 103.413 831
term estimate std.error statistic p.value
(Intercept) 11.650 0.031 369.903 0
FoundationCBlock 0.223 0.035 6.278 0
FoundationPConc 0.581 0.036 16.242 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Foundation 0.308 0.306 0.318 184.911 0 3 -226.559 461.118 480.023 84.071 831
term estimate std.error statistic p.value
(Intercept) 11.997 0.013 902.257 0.000
HeatingGasW 0.091 0.145 0.629 0.530
HeatingGrav -0.519 0.382 -1.360 0.174
HeatingOthW -0.285 0.382 -0.746 0.456
HeatingWall -0.557 0.382 -1.460 0.145
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Heating 0.006 0.001 0.382 1.234 0.295 5 -377.595 767.189 795.546 120.766 829
term estimate std.error statistic p.value
(Intercept) 11.424 0.053 214.789 0
Central.AirY 0.605 0.055 11.064 0
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Central.Air 0.128 0.127 0.357 122.413 0 2 -322.831 651.662 665.841 105.904 832
term estimate std.error statistic p.value
(Intercept) 11.921 0.077 155.157 0.000
Garage.TypeAttchd 0.200 0.078 2.565 0.010
Garage.TypeBuiltIn 0.433 0.091 4.766 0.000
Garage.TypeDetchd -0.177 0.080 -2.223 0.026
Garage.TypeNone -0.457 0.094 -4.883 0.000
term r.squared adj.r.squared sigma statistic p.value df logLik AIC BIC deviance df.residual
value Garage.Type 0.315 0.312 0.317 95.391 0 5 -222.185 456.369 484.727 83.194 829

Predictor Association Analysis

Label.1 Variable.1 Label.2 Variable.2 r
f1 MS.SubClass f7 Bldg.Type 0.9345
f10 Exterior.1st f11 Exterior.2nd 0.8556
f1 MS.SubClass f8 House.Style 0.8279
f2 MS.Zoning f5 Neighborhood 0.8157
f5 Neighborhood f13 Foundation 0.6502
f5 Neighborhood f7 Bldg.Type 0.6201
f1 MS.SubClass f2 MS.Zoning 0.5743
f1 MS.SubClass f13 Foundation 0.5047

Multivariate Analysis

Summary

Relative Importance

Correlation of Features

Variable.1 Variable.2 r
age.log age.garage.log 0.9245
Fireplace.Qu Fireplaces 0.8558
area.log TotRms.AbvGrd.log 0.7932
Overall.Qual Exter.Qual 0.7048
Bsmt.Qual Total.Bsmt.SF.log 0.7017
Kitchen.Qual Exter.Qual 0.7009
Garage.Cars Garage.Area.log 0.6891
area.log Full.Bath 0.6653
age.log age.remod.log 0.6622
age.garage.log age.remod.log 0.6435
Overall.Qual Kitchen.Qual 0.6433
Overall.Qual Bsmt.Qual 0.6067
Overall.Qual area.log 0.5931
Overall.Qual Garage.Cars 0.5790
Full.Bath TotRms.AbvGrd.log 0.5412
Overall.Qual Full.Bath 0.5348
area.log X1st.Flr.SF.log 0.5288
area.log Fireplace.Qu 0.5285
area.log Garage.Cars 0.5190
Exter.Qual Bsmt.Qual 0.5133
area.log Fireplaces 0.5024

Association of Top Features

Variable.1 Variable.2 r
Neighborhood Foundation 0.6502
MS.SubClass Foundation 0.5047

2018-08-14